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Beliebt Rechnen >

(3+2x^{-1}y+2x^{-1}y^2)dx+(1+2y)dy=0

Lösung

(3 + 2 x^{- 1} y + 2 x^{- 1} y^{2}) d x + (1 + 2 y) d y = 0

Lösung

y = \frac{- x + x ^{2} - 4 ( x ^{3} - c _{1} )}{2 x}, y = - \frac{x + x ^{2} - 4 ( x ^{3} - c _{1} )}{2 x}

Schritte zur Lösung

(3 + 2 x^{- 1} y + 2 x^{- 1} y^{2}) d x + (1 + 2 y) d y = 0

Solve exact ODE:

y = \frac{- x + x ^{2} - 4 ( x ^{3} - c _{1} )}{2 x}, y = - \frac{x + x ^{2} - 4 ( x ^{3} - c _{1} )}{2 x}

y = \frac{- x + x ^{2} - 4 ( x ^{3} - c _{1} )}{2 x}, y = - \frac{x + x ^{2} - 4 ( x ^{3} - c _{1} )}{2 x}

Graph

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